NATIONAL SENIOR CERTIFICATE EXAMINATION
MAY 2021
MATHEMATICAL LITERACY: PAPER I
MARKING GUIDELINES
Time: 3 hours
150 marks
These marking guidelines are prepared for use by examiners and sub-examiners,
all of whom are required to attend a standardisation meeting to ensure that the
guidelines are consistently interpreted and applied in the marking of candidates'
scripts.
The IEB will not enter into any discussions or correspondence about any marking
guidelines. It is acknowledged that there may be different views about some
matters of emphasis or detail in the guidelines. It is also recognised that,
without the benefit of attendance at a standardisation meeting, there may be
different interpretations of the application of the marking guidelines.
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NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES
Q
ANSWER
QUESTION 1
1.1.1
$22 000 000
1.1.2
1 600 000 000 ÷ 1 000 × $2
= $3 200 000
SKILLS ASSESSED
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22 000 000
Division by 1 000
Multiplication by $2
$3 200 000
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1,9% of $2
Adding 1,9%
$2,04
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Multiplication
R29,34
Subtraction
R1,88
Division by $15 million
R13,60
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Addition of 3 times $15
$90
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Division by 3
$5
Multiply by 3 to get
price for 3 GB
R447
Divide by 3
R68,95
MARK
OR
1,6 billion ÷ 1 000 × $2
= $0,003 2 billion
1.1.3 (a) $2 × 1,9%
= $0,038
$2 + $0,038
= $2,04
OR
$2 × 1,019
= $2,04
OR
$2 × 101,9%
= $2,04
1.1.3 (b) $2,04 × R14,38
= R29,34 (rounding penalty)
1.1.4
R29,34 – R27,46
= R1,88
1.1.5
R204 million ÷ $15 million
$1 : R13,60
OR
R1 : $0,07
1.2.1
$45 + 3 × $15
= $45 + $45
= $90
1.2.2
$15 ÷ 3
= $5
1.2.3 (a) 149 × 3
= R447 for 3 GB of data in SA
1.2.3 (b) R205,95 ÷ 3
= R68,95
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NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES
1.2.3 (c)
$5 = R68,65
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Divide by 5
$1 = R13,73
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Subtraction
Divisor of 13,73
5,46%
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Multiplication by 12 for
annual income
$375 000
35%
Calculating 35% of $375
000
$131 250
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N3
NE
12,3 cm
0,85 km
÷ 1,5 × 0,85 km
6,97 km
Distance ÷ time
Conversion to hours
104,4 km/h
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Correct street names
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Division by 4
14 000 seats
7 500
13,39%
OR 13,4%
OR 13%
68,65 ÷ 5
= R13,73
1.2.3 (d)
1.3.1
1.3.2
$1 = R13,73
14,48 − 13,73
13,73
= 5,46%
$31 250 × 12
= $375 000
× 100
0,35 × 375 000
= $131 250
QUESTION 2
2.1.1
N3
2.1.2
North East
2.1.3
12,3 cm
2.1.4 (a) 0,85 km
2.1.4 (b) 12,3 cm ÷ 1,5 × 0,85 km
= 6,97 km
2.1.5
S = 8,7 km ÷ 5 minutes
S = 8,7 km ÷
2.2.1
2.2.2
2.2.3
5
60
S = 8,7 km/h ÷ 0,83 hr
S = 104,4 km/h
Masabalala Yengwa Ave
Isaiah Ntshangase Road
OR
Umgeni Road
Isaiah Ntshangase Road
56 000 ÷ 4
= 14 000 seats
7 500 ÷ 56 000 × 100
= 13,39 %
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NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES
QUESTION 3
3.1.1
75 ÷ 10
= 7,5 cm
3.1.2
4,7 ÷ 2
= 2,35 cm
3.1.3
V = 3,142 × 2,35² × 7,5
V = 130 cm³
3.1.4
48,19 g ÷ 1,7 oz
= 28,35 g
3.1.5 (a) 15 g ÷ 5
= 3 g/sweet
3.1.5 (b) 11
× 100
15
= 73,33%
3.1.5 (c)
11 ÷ 5 × 16
= 35,2 g of sugar
3.2.1
15 cm – 2 cm
= 13 cm
3.2.2
3.2.3
2
× 15 cm
5
= 6 cm
A = 15 × 6
A = 90 cm²
QUESTION 4
4.1.1
(2 823 – 1 851) ÷ 27
= 36 emojis
4.1.2
0,92 × 3 424 971 237
= 3 150 973 538
4.2
5
9
4.3.1
6
225
34
5
+
224 224
39
=
224
4.3.2
4.4.1
4.4.2
English US
Heart
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7,5 cm
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2,35 cm
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Substitution
130 cm³
Calculating g/oz
28,35 g
Division by 5
3 g/sweet
Accuracy for values in
fraction
Multiplication by 100
73,33%
Division by 5
Multiplication by 16
35,2 g
Subtraction of 2 × 1 cm on
either side
13 cm
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Multiplying by
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6 cm
L×B
90 cm²
unit
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Difference in number of
Emojis designed
27 months
36
Calculating a percentage
of an amount
3 150 973 538
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5
9
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2
5
6
225
Method – adding
224
English US
Heart
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NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES
4.4.3
57 ÷ 5
= 11,4%
4.4.4
11,4% × 4
= 45,6%
More than 4 times other languages
average
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Sum of all percentages
Division by 5 languages
11,4%
Multiplying by 4
45,6%
True
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Values correct
242 023 981
Sum of middle 2 terms
Divide by 2
25 155 987
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Rounding to the nearest
million
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17 000 000
True
French use hearts more than 4 times
the average use of other languages at
58%
OR
4.5.1
4.5.2
4.5.3
58% ÷ 4 = 14,5 which is greater than
11,4 so TRUE.
256 785 982 – 14 762 001
= 242 023 981
(25 536 000 + 24 775 974) ÷ 2
= 50 311 974 ÷ 2
= 25 155 987
257 000 000; 131 000 000; 96 000 000;
70 000 000; 31 000 000; 28 000 000;
26 000 000; 25 000 000; 24 000 000;
21 000 000; 19 000 000; 17 000 000;
17 000 000; 15 000 000
17 000 000
QUESTION 5
5.1
T = 9 080 ÷ 825,45
T = 11hrs
5.2
3 479 ÷ 5 585
= 0,6229 miles/km
5.3.1
5.3.2
5.3.3
January
£325
325 – 827
= –502
– 502 ÷ 827 × 100
= –60,7%
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Distance divided by speed
11 hrs
Miles divided by
kilometres
• 0,6229
January
£325
• Difference between new
and old
• Division by old multiply by
100
• –60,7%
OR
827 – 325
= 502
502 ÷ 827 × 100
= 60,7%
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NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES
5.4.1
5.4.2
5.4.3
5.4.4
5.4.5
1 hr 20 min
09:34 + 1 hr 20 min + 5 min
= 10:59
$52 ÷ 20
= $2,60
1
30 min =
2
4,7 m = 470 cm
470 cm ÷ 63
= 7,46 cm
5.4.6 (a) Los Angeles
5.4.6 (b) 75 ÷ 5
= 5 hours
5.5.1
2:00 pm + 1 hr 40 min
= 3:40 pm
07:00 – 1 hr
= 6:00 pm
5.5.2
5.5.3
5.5.4
6:00 pm – 3:40 pm
= 2hrs 20 min to clean
Mondays
22 shows
$15 million + $57 000 × 22
= $16 254 000
5.5.5
$139
$175
$327
5.5.6
580
540
500
$ 80 620
$ 94 500
$163 620
$338 620
338 620 × 22
(ca 5.5.3 & 5.5.5)
5.5.7
= $7 449 640
16 254 000 ÷ 338 620
1 hr 20 min
• Adding 1hr 20 min
• 10:59
• Cost divided by 20
• $2,60
1
30 min =
2
• Conversion to cm
• Division by 63
• 7,46 cm
Los Angeles
• Ratio
• 5 hrs
• Sum of show time
• 3:40 pm
• 1 hour before show time:
6:00 pm
• Subtraction of times
• 2 hrs 20 min
Mondays
22
• Addition
• 57 000 × 22
• 16 254 000
Cost multiply to number of
seats
• $338 620
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Multiply by 22
$7 449 640
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Total expenses divided by
total income per show
48 shows
(ca 5.5.4 & 5.5.5)
= 48 shows
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Total: 150 Marks
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